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Simplifying 4x2 + -56x + 186 = -6 Reorder the terms: 186 + -56x + 4x2 = -6 Solving 186 + -56x + 4x2 = -6 Solving for variable 'x'. Reorder the terms: 186 + 6 + -56x + 4x2 = -6 + 6 Combine like terms: 186 + 6 = 192 192 + -56x + 4x2 = -6 + 6 Combine like terms: -6 + 6 = 0 192 + -56x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(48 + -14x + x2) = 0 Factor a trinomial. 4((6 + -1x)(8 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {6, 8}
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